The Dice House looks like part of a Monopoly set, but the design has real-world ambitions. The 30-by-30-by-30-foot concept home, designed by the British architecture firm Sybarite, improves on standard building tech to erase its carbon footprint. The centerpiece is a photovoltaic umbrella dome that collects roughly 90 percent of the house’s energy needs. Made of a common plastic, the pillowy dome traps heat like a greenhouse. That hot air warms water in a tank tucked under the roof, turning out a daily average of 80 bath-ready gallons, even on the darkest days of December. At the umbrella’s apex, a generator-equipped turbine produces electricity and, in chilly months, drives heat into the house. Photovoltaic cells studding the 484-square-foot dome floor create additional electricity. Generating an estimated average of 33 kilowatt-hours per day, the house can power itself and charge a Tesla Roadster.